Meeting the deadline: On the complexity of fault-tolerant continuous gossip

Chryssis Georgiou, Seth Gilbert, Dariusz R. Kowalski

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

In this paper we introduce the problem of Continuous Gossip in which rumors are continually and dynamically injected throughout the network. Each rumor has a deadline, and the goal of a continuous gossip protocol is to ensure good "Quality of Delivery," i.e., to deliver every rumor to every process before the deadline expires. Thus, a trivial solution to the problem of Continuous Gossip is simply for every process to broadcast every rumor as soon as it is injected. Unfortunately, this solution has high per-round message complexity. Complicating matters, we focus our attention on a highly dynamic network in which processes may continually crash and recover. In order to achieve good perround message complexity in a dynamic network, processes need to continually form and re-form coalitions that cooperate to spread their rumors throughout the network. The key challenge for a Continuous Gossip protocol is the ongoing adaptation to the ever-changing set of active rumors and noncrashed process. In this work we show how to address this challenge; we develop randomized and deterministic proto- cols for Continuous Gossip and prove lower bounds on the per-round message-complexity, indicating that our protocols are close to optimal.

Original languageEnglish (US)
Pages (from-to)223-244
Number of pages22
JournalDistributed Computing
Volume24
Issue number5
DOIs
Publication statusPublished - Dec 1 2011
Externally publishedYes

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Keywords

  • Crashes and restarts
  • Dynamic rumor injection
  • Gossip
  • Random and expander graphs

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Computational Theory and Mathematics

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